in the baseball world series, the first team to win four games wins the series. answer the following questions. how many ways can a world series be played if team 4 wins four games in a row?

Answers

Answer 1

There is only one way a World Series can be played if team 4 wins four games in a row.

How many ways for 4-game win in World Series?

If team 4 wins four games in a row, then the series can only last four games. In each game, there are two possible outcomes: team 4 wins or the other team wins.

Therefore, the number of ways a world series can be played if team 4 wins four games in a row is simply the number of possible outcomes for four games, which is 2⁴ = 16.

This means that there are 16 possible ways that a world series can be played if team 4 wins four games in a row. However, if team 4 does not win four games in a row, the number of possible outcomes will be greater.

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Related Questions

Calculate the net profit margin for a
shirt sold for $12 that has a $3 cost of
goods sold and 20% operating expenses.
A. 55%
C. 70%
B. 220%
D. $7

Answers

The net profit margin for this shirt is 55%.

What is net profit?

Net profit is the amount of money your business earns after deducting all operating, interest and tax expenses over a period of time. To arrive at this value, you need to know the company's gross profit. If the value of net profit is negative, it is called net loss.

Net profit is another important parameter that determines the financial health of your business. It shows whether the company can earn more than it spends. Net profit helps you decide when and how to expand your business and when to cut costs.

It is important for a business owner to know the difference between profit and profitability. Profit is an absolute number equal to revenues minus expenses. Profitability, on the other hand, is a relative number (percentage) that equals the ratio of profit to revenue.

Profitability is a measure of efficiency and is useful in determining the success or failure of a business.

Given,

Revenue = $12

Cost of goods sold = $3

Operating expenses = 20% of revenue = 20/100 x $12 = $2.4

We know,

Net Profit = Revenue - Cost of goods sold - Operating expenses

\(Net \: Profit = 12 - 3 - 2.4\)

Hence, Net Profit = $6.6

Again,

Net Profit Margin = (Net Profit / Revenue) x 100%

Net Profit Margin \(= ( \frac{6.6}{ 12}) \times 100\%\)

SO, Net Profit Margin = 55%

Therefore, the net profit margin for this shirt is 55%.

So, it is clear that choice A is correct.

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Twenty-four is ___% of 80

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

i really don't have a method for this, just try a number you think is close, go up, or down depending on the number

!GIVNG BRAINLIEST PLEASE HELP!

Part A
List the simple shapes into which you divided shape C, and measure their sides. Write all the measurements in inches.

!GIVNG BRAINLIEST PLEASE HELP!Part AList the simple shapes into which you divided shape C, and measure

Answers

Step-by-step explanation:

I'm assuming the shape given is called 'Shape C'

The shapes which the figure is divided into are- 2 rectangles and a triangle.

The Measurements of all of their sides? Lets start with Rectangle X- the sides are given it seems- 2 in, 1 in, 2 in, 1 in. Rectangle Y's sides are divided into 3 in and 2 in. And lastly the Triangle is 1 in, 2 in and 2 in. (The hypotenuse is 2 because 2^2  +1^2= 4 and sqrt 4 is 2)

I don't exactly understand what they are asking so I'm also gonna tell you the perimeter of shape c. It's 1+2+1+2+4+2+1 = 13 in

I'm sorry If I didn't answer the question right...

Answer:

1 + 2 + 1 + 2 + 4 +2 + 1 = 13

Step-by-step explanation:

have a great day

Maybe my brain is broke

Maybe my brain is broke

Answers

The equation the line is, y = -3/2 *x -1

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have ,

from the given graph we get,

the line is passing through the points (0,-1)& ( -2,2)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

now, by solving we get,

-3x-2y=2

Hence, the required equation is, y = -3/2 *x -1

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Lindsey's Cafe uses 5 bags of coffee every day. How many days will 1/2 of a bag of coffee last?

Answers

When she uses 5 bags of coffee every day at her café, half of a bag of coffee lasts for 10 days.

What is division?

Multiplication is the inverse of division. If 3 groups of 4 add up to 12, 12 split into 3 equal groups adds up to 4 in each group in division. The basic purpose of splitting is to determine how many equal groups develop or how many people are in each group when distributing equally. Division is a basic operation that divides an integer. It's best to imagine of it as a group of things being distributed among a group of individuals, as in the preceding example.

Here,

number of bags needed in a day=5

number of days 1/2 bag last,

=5÷1/2

=10 days

Half of bag of coffee last for 10 days when she uses 5 bags of coffee every day in her café.

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Find numbers ⎡ x, y, and z such that the matrix A = ⎣ 1 x z 0 1 y 001 ⎤ ⎦ satisfies A2 + ⎡ ⎣ 0 −1 0 0 0 −1 000 ⎤ ⎦ = I3.

Answers

To calculate the flux of the vector field F = (x/e)i + (z-e)j - xyk across the surface S, which is the ellipsoid x²/25 + y²/5 + z²/9 = 1, we can use the divergence theorem.

The divergence theorem states that the flux of a vector field across a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface.

First, let's calculate the divergence of F:

div(F) = (∂/∂x)(x/e) + (∂/∂y)(z-e) + (∂/∂z)(-xy)

= 1/e + 0 + (-x)

= 1/e - x

To calculate the surface integral of the vector field F = (x/e) I + (z-e)j - xyk across the surface S, which is the ellipsoid x²/25 + y²/5 + z²/9 = 1, we can set up the surface integral ∬S F · dS.

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4) Which is the best deal?OA) $56 for 25 gallonsB) $32.05 for 15 gallonsO C) $51.29 for 23 gallonsOD) $22.50 for 10 gallons

Answers

To know the best deal, we have to know which one gives us the least cost per gallon.

To do that we divide the price by the quantity or volume.

A) $56 for 25 gallons

\(\frac{56\text{ \$}}{25\text{ gal}}=2.24\text{ \$/gal}\)

B) $32.05 for 15 gallons

\(\frac{32.05\text{ \$}}{15\text{ gal}}\approx2.14\text{ \$/gal}\)

C) $51.29 for 23 gallons

\(\frac{51.29\text{ \$}}{23\text{ gal}}=2.23\text{ \$/gal}\)

D) $22.50 for 10 gallons

\(\frac{22.50\text{ \$}}{10\text{ gal}}=2.25\text{ \$/gal}\)

The best deal is B: $32.05 for 15 gallons, because it offers a price per gallon that is lower than the others.

A certain freely falling object requires 1.20 s to travel the last 24.0 m before it hits the ground. From what height above the qround did it fall? Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m

Answers

The object fell from a height of approximately 7.057 meters above the ground.


We can solve this problem using the equations of motion for a freely falling object. The equation we’ll use is:
H = (1/2) * g * t^2
Where h is the initial height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time taken to travel the last distance. Rearranging the equation, we get:

H = (24.0 m) + (1/2) * (9.8 m/s^2) * (1.20 s)^2
Calculating this expression, we find that h is approximately 7.057 meters. Therefore, the object fell from a height of approximately 7.057 meters above the ground.

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For each of the following sets, determine whether 2 is an element of that set. a) {X ER] x is an integer greater than 1} b) {XE R | x is the square of an integer} c) {2,{2}} d) {{2},{{2}}} e) {{2},{2,{2}}} f) {{{2}}} 10. For each of the sets in Exercise 9, determine whether {2} is an element of that set. Datormine whether each of these statements is true or False.

Answers

We have determined whether the number 2 is present in each of the sets. And we also have checked whether the set {2} is present in each of these sets.

For each of the following sets, we have to determine whether 2 is an element of that set:

{X ER | x is an integer greater than 1}.

In this set, we can have x as 2,3,4,5...So, 2 is an element of this set.b) {XE R | x is the square of an integer}In this set, we can have x as 1,4,9,16,25...So, 2 is not an element of this set.c) {2,{2}}In this set, we have two elements 2 and {2}.

So, 2 is an element of this set.d) {{2},{{2}}}In this set, we have two elements {2} and {{2}}.So, 2 is not an element of this set.e) {{2},{2,{2}}}.

In this set, we have two elements {2} and {2,{2}}.So, 2 is an element of this set.f) {{{2}}}In this set, we have one element {{2}}.

So, 2 is not an element of this set.For each of the sets in Exercise 9, we have to determine whether {2} is an element of that set.a) {X ER | x is an integer greater than 1}In this set, {2} is not an element of this set.b) {XE R | x is the square of an integer}In this set, {2} is not an element of this set.c) {2,{2}}

In this set, {2} is an element of this set.d) {{2},{{2}}}In this set, {2} is an element of this set.e) {{2},{2,{2}}}In this set, {2} is an element of this set.f) {{{2}}}In this set, {2} is not an element of this set.

In the above problem, we have been given some sets.

We are to determine whether the element 2 is present in those sets. If we observe the sets, we see that the first two sets are conditional sets. In the first set, we can have integer values greater than 1. And in the second set, we can have square values of integers

So, in the first set, we get the number 2. Whereas, in the second set, we don't get 2.

Then, we have some sets where we have elements in a set. These sets contain both sets and numbers. So, we have to check if 2 is present in any of these sets. By observing the sets, we can tell that 2 is present in the set c) {2,{2}} and set e) {{2},{2,{2}}}.

Whereas, 2 is not present in the remaining sets.

We have determined whether the number 2 is present in each of the sets. And we also have checked whether the set {2} is present in each of these sets.

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In QRS m Q = 80 degrees m R = 65 degrees m S = 35 degrees which side of the QRS is the longest

Answers

Answer: RS

Step-by-step explanation:

A greater angle of a triangle is opposite a greater side. If angle Q is greater than angle R, then side RS is greater than side QS.

Because Q is the larger angle in the triangle, Then RS is the longest side.

Area
12. a. The parallelograms PQRS and QRTN stand on the same base QR and between
the same parallels QR and PT, Prove that:
i. triangle PQN = triangle SRT
ii. Area of parallelogram PQRS = Area of parallelogram QRTN.​

Answers

Step-by-step explanation:

1. In PQN & SRT.

a. <RST=<QPN (corresponding angle PQllSR)

b. <STR = <PNQ (corresponding angle TRIINQ)

c. TR=QN (Since TN & QN are opp. Side of parallelogram QNTR)

d. .°.PQN~=SRT.

2.PQN=PSOQ+SNO (whole part axiom)

3.SRT = SNO + NTRO(same as above)

4. PQN=SRT (From st. 1d)

or, PS0Q+SNO =SNO + NTRO (Cancellation of SNO)

or, PS0Q=NTRO

or, PSOQ +QOR=NTRO +QOR (Adding QOR on both side)

or, .°.◼️PQRS = ◼️QRTN

Best of luck!!!!.

Area12. a. The parallelograms PQRS and QRTN stand on the same base QR and betweenthe same parallels QR

2. Jessica is applying for a new job as a cosmetologist. Job A offers $40,000 starting salary with at $1000 raise
each year . Job B offers $35,000 starting salary with a 8% raise each year. If Jessica is looking to stay at this
position for over 10+ years, which job should she pick?

Answers

Answer:

Job B

Step-by-step explanation:

If we calculate her salary after 10 years

For job A:

it would be 40,000+10,000=$50,000

For job B:

it would be $75,562.3749


If the measure of each exterior angle is twice as large as each interior angle, the polygon must be a regular

Answers

Answer:

y+o+u+t+u+b+e +biggie smalls

Step-by-step explanation:

The polygon will be a triangle if the measure of each exterior angle is twice as large as each interior angle.

What is a regular polygon?

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

As we know, the interior angle is given by:

= 180(n - 2)

Sum of the exterior angle is 360 degree

(360/n) = 2[180(n - 2)]/n

360 = 360(n - 2)

n = 3

Number of sides n = 3

Polygon will be a triangle

Thus, the polygon will be a triangle if the measure of each exterior angle is twice as large as each interior angle.

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Someone plz help me plz

Someone plz help me plz

Answers

Answer:

3(24+56)

Step-by-step explanation:

3 times sum of 24 and 56 so your adding 24 and 56 and multiplying it by 3

3(24+56)

Answer:

3(24 +56)

Step-by-step explanation:

sum of 24 and 56 means addition

3 times the sum means multiplication

the format you'd use in math would be 3(24 +56)

(6 ten thousands 5 hundreds) × 10 =

Answers

The value of (6 ten thousands 5 hundreds)×10 is 6005000.

What is the place value?

The value of each digit in a number is known as place value. Every digit in a number has a distinct value depending on where it is located. The value of a digit depends on its position in the number, which might result in a number having two comparable digits with distinct values.

Given that, (6 ten thousands 5 hundreds)×10

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Now, 6 ten thousands

= 6×10000

= 60000

5 hundreds

= 5×100

= 500

Here, (6 ten thousands 5 hundreds)

= 60000+500

= 600500

So, (6 ten thousands 5 hundreds)×10 =600500×10

= 6005000

Therefore, the value of (6 ten thousands 5 hundreds)×10 is 6005000.

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The equation of a line is y= -3x - 18. What are the coordinates of the point on the
line when the value of yis 3?

Answers

Answer:

-7

Step-by-step explanation:

3=-3x-18

3x=-18-3

3x=-21

x=-7

can you please fin x and y

can you please fin x and y

Answers

So we know that x = 90º because it is a right angle. And angle B also has to be 47º because it is a reflection of angle C. And all the angles of any triangle are equal to 180º, so if we do 180-(90+47)=43. So now we know that y=43º and x=90º Your welcome, please give me brainlest.

Triangles A B C and L M N are shown. Angle B A C is 58 degrees. Angle M L N is 78 degrees. Sides A B and L M are congruent. Sides A C and L N are congruent.
Given AC = LN and BA = ML, which statement must be true?

BC < MN
BC > MN
BC = MN
BA = LN

Answers

Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

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an espresso stand has a single server. customers arrive to the stand at an average rate of 28 per hour. the average service rate is 35 customers per hour. the average time in minutes a customer spends waiting in line for service is group of answer choices 6.86 minutes 8.58 minutes 0.114 minutes none of the choices listed 0.143 minutes

Answers

The average time in minutes a customer spends waiting in line for service is  5.49 minutes, so the correct answer is D. none of the choices listed.

We can use Little's Law to find the average time a customer spends waiting in line for service:

Average time in line = (Average number of customers in line) / (Service rate)

To find the average number of customers in line, we can use the formula for the M/M/1 queuing system:

Lq = (ρ²) / (1 - ρ)

where

Lq is the average number of customers in the queue

ρ is the utilization of the server, which is equal to the arrival rate divided by the service rate

So, ρ = (Arrival rate) / (Service rate) = 28/35 = 0.8

And, Lq = (0.8^2) / (1 - 0.8) = 0.64 / 0.2 = 3.2

Now we can use Little's Law:

Average time in line = (Average number of customers in line) / (Service rate) = 3.2 / 35

Converting hours to minutes, we get:

Average time in line = (3.2 / 35) * 60 = 5.49 minutes

So the answer is D. none of the choices listed.

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7,10,13 find the 33rd term

Answers

Ans103

Step-by-step explanation:

if h and k are subgroups of g show that h ∩ k is a subgroup of g

Answers

To show that h ∩ k is a subgroup of g, we need to verify the three conditions for subgroup:

1. Closure: For any elements a,b in h ∩ k, we know that they are also in h and k respectively, since h and k are subgroups of g. Therefore, a*b is in both h and k, and thus in h ∩ k. Hence, h ∩ k is closed under the group operation.

2. Identity element: Since h and k are subgroups, they each have an identity element, say e_h and e_k respectively. Since e_h is in h and e_k is in k, we know that e_h = e_k = e (the identity element of g). Therefore, e is in h ∩ k, and thus h ∩ k has an identity element.

3. Inverse: For any element a in h ∩ k, we know that a is also in h and k. Therefore, a^(-1) is in both h and k, and thus in h ∩ k. Hence, h ∩ k has inverses for all its elements.

Since h ∩ k satisfies all three conditions for subgroup, we conclude that h ∩ k is a subgroup of g.

To show that the intersection of subgroups H and K (denoted as H ∩ K) is a subgroup of G, we need to verify that it satisfies the following conditions:

1. Closure: If a and b belong to H ∩ K, then their product (ab) must also belong to H ∩ K.
2. Identity: The identity element (e) of G must belong to H ∩ K.
3. Inverse: If a belongs to H ∩ K, then its inverse (a⁻¹) must also belong to H ∩ K.

Proof:

1. Closure: Let a and b be elements in H ∩ K. This means a and b are in both H and K. Since H and K are subgroups of G, they are closed under the operation.

Therefore, ab is in both H and K, so ab belongs to H ∩ K. This shows that H ∩ K is closed under the operation.

2. Identity: The identity element (e) is present in both H and K, as they are subgroups of G. Since e is in both H and K, it must be in H ∩ K. This shows that the identity element is present in H ∩ K.

3. Inverse: Let a be an element in H ∩ K. This means a is in both H and K. Since H and K are subgroups of G, the inverse of a, denoted as a⁻¹, exists in both H and K. Therefore, a⁻¹ is in H ∩ K.

Since H ∩ K satisfies the closure, identity, and inverse properties, it is a subgroup of G.

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You sell apple cider for a fundraiser. For each gallon of cider you sell, the company that makes the cider receives $x$ dollars, and you receive the remaining amount. You sell $15$ gallons of cider for $\left(15x+45\right)$ dollars. How much money do you receive for each gallon of cider that you sell?

Answers

The seller receives x+3 dollars for each gallon of cider sold in the fundraiser.

Use the concept of fraction defined s:

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p/q.

Given that,

Apple cider is being sold for a fundraiser.

The company that makes the cider receives $x$ dollars for each gallon sold.

The seller receives the remaining amount of money after the company's share.

A total of 15 gallons of cider were sold.

The total amount of money from selling the cider is $15x + 45$ dollars.

To find out how much money you receive for each gallon of cider sold, Set up an equation based on the given information.

Assume that you receive y dollars for each gallon of cider sold.

Since you sold 15 gallons of cider for 15x + 45 dollars,

Then write the equation:

15y = 15x + 45

To find the value of y,

Divide both sides of the equation by 15:

\(y = \frac{15x + 45}{15}\)

Simplifying the equation further, we get:

y = x + 3

Therefore,

You receive x + 3 dollars for each gallon of cider that you sell.

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Which sign goes in the circle to make the number sentence true?
4/5+5/8 ○ 1
A) >
B) <
C) Greater than or equal to
D) Less than or equal to​

Answers

The sign that goes in the circle to make the sentence true is >• 4/5+5/8= >1

Explanation

Let us compare 4/5 and 5/8.

To compare the numbers, we have to get the lowest common multiple (LCM). We can derive the LCM by multiplying the denominators which are 5 and 8. 5×8 = 40

LCM = 40.

Converting 4/5 and 5/8 to fractions with a denominator of 40:

4/5 = 32/40

5/8 = 25/40

= 32/40 + 25/40

= 57/40

= 1.42.

4/5+5/8 = >1

1.42>1

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un numero aumentado en 5

Answers

Answer: x + 5

Step-by-step explanation:

\(Given \: cotA = \sqrt{\dfrac{1}{3}}\)

Find all other trigonometric ratios. ​

Answers

Given :

\( \tt cotA = \sqrt{ \dfrac{1}{3}}\)

\( \tt \implies cotA = \dfrac{1}{\sqrt{3}}\)

To Find :

All other trigonometric ratios, which are :

sinAcosAtanAcosecAsecA

Solution :

Let's make a diagram of right angled triangle ABC.

Now, From point A,

AC = Hypotenuse

BC = Perpendicular

AB = Base

\( \tt We \: are \: given, \: cotA = \dfrac{1}{\sqrt{3}}\)

\( \tt We \: know \: that \: cot \theta = \dfrac{base}{perpendicular}\)

\( \tt \implies \dfrac{base}{perpendicular} = \dfrac{1}{\sqrt{3}}\)

\( \tt \implies \dfrac{AB}{BC} = \dfrac{1}{\sqrt{3}}\)

\( \tt \implies AB = 1x \: ; \: BC = \sqrt{3}x \: (x \: is \: positive)\)

Now, by Pythagoras' theorem, we have

AC² = AB² + BC²

\( \tt \implies AC^{2} = (1x)^{2} + (\sqrt{3}x)^{2}\)

\( \tt \implies AC^{2} = 1x^{2} + 3x^{2}\)

\( \tt \implies AC^{2} = 4x^{2}\)

\( \tt \implies AC = \sqrt{4x^{2}}\)

\( \tt \implies AC = 2x\)

Now,

\( \tt sin \theta = \dfrac{perpendicular}{hypotenuse}\)

\( \tt \implies sinA = \dfrac{BC}{AC} \)

\( \tt \implies sinA = \dfrac{\sqrt{3}x}{2x} \)

\( \tt \implies sinA = \dfrac{\sqrt{3}}{2} \)

\( \Large \boxed{\tt sinA = \dfrac{\sqrt{3}}{2}} \)

\( \tt cos \theta = \dfrac{base}{hypotenuse}\)

\( \tt \implies cosA = \dfrac{AB}{AC} \)

\( \tt \implies cosA = \dfrac{1x}{2x} \)

\( \tt \implies cosA = \dfrac{1}{2} \)

\( \Large \boxed{\tt cosA = \dfrac{1}{2}} \)

\( \tt tan \theta = \dfrac{perpendicular}{base}\)

\( \tt \implies tanA = \dfrac{BC}{AB} \)

\( \tt \implies tanA = \dfrac{\sqrt{3}x}{1x} \)

\( \tt \implies tanA = \sqrt{3}\)

\( \Large \boxed{\tt tanA = \sqrt{3}}\)

\( \tt cosec \theta = \dfrac{hypotenuse}{perpendicular}\)

\( \tt \implies cosecA = \dfrac{AC}{BC} \)

\( \tt \implies cosecA = \dfrac{2x}{\sqrt{3}x} \)

\( \tt \implies cosecA = \dfrac{2}{\sqrt{3}}\)

\( \Large \boxed{\tt cosecA = \dfrac{2}{\sqrt{3}}}\)

\( \tt sec \theta = \dfrac{hypotenuse}{base}\)

\( \tt \implies secA = \dfrac{AC}{AB} \)

\( \tt \implies secA = \dfrac{2x}{1x} \)

\( \tt \implies secA = 2\)

\( \Large \boxed{\tt secA = 2}\)

[tex]Given \: cotA = \sqrt{\dfrac{1}{3}}[/tex]Find all other trigonometric ratios.
Diagram :-

\(\setlength{\unitlength}{2mm}\begin{picture}(0,0)\thicklines\put(0,0){\line(3,0){2.5cm}}\put(0,0){\line(0,3){2.5cm}}\qbezier(12.4,0)(6.6,5)(0,12.4)\put(-2,13){\sf A}\put(13,-2){\sf C}\put(-2,-2){\sf B}\put(-3,6){\sf 1}\put(6,-3){\sf \sqrt3$}\put(7,7){\sf 2}\end{picture}\)

Solution :-

Given ,

cotA = \(\sf \sqrt{\dfrac{1}{3}}=\dfrac{1}{\sqrt3}\)

We need to find ,

All the trigonometric identities

First finding the other side of the triangle using Pythagoras theorem .

Hypotenuse² = Base² + Height²

\(\to\sf Hypotenuse^2 = (1)^2 + (\sqrt3)^2\)

\(\to\sf Hypotenuse^2 = 1 + 3 \)

\(\to \sf Hypotenuse = \sqrt4\)

\(\to\bf Hypotenuse = 2\)

Now ,

\(\rm sinA = \dfrac{opposite}{hypotenuse}=\sf\dfrac{\sqrt3}{2}\)

\(\rm cosA = \dfrac{adjacent}{hypotenuse}=\sf\dfrac{1}{2}\)

\(\rm tanA = \dfrac{opposite}{adjacent}=\sf\dfrac{\sqrt3}{1}\)

\(\rm cosecA=\dfrac{hypotenuse}{adjacent}=\sf\dfrac{2}{\sqrt3}\)

\(\rm secA = \dfrac{Hypotenuse}{adjacent}=\sf\dfrac{2}{1}\)

\(\rm cotA = Already\; given =\sf \dfrac{1}{\sqrt3}\)

What is the correct numerical expression for "9 times 4 added to the difference of 3 and 2?"

9 x 4 + (3 − 2)
9 x (4 + 3) − 2
9 + (4 x 3) ÷ 2
9 − 2 x 4 + 3

Answers

The correct Numerical expression for "9 times 4 added to the difference of 3 and 2" is 37.

The correct numerical expression for "9 times 4 added to the difference of 3 and 2" is:

9 x 4 + (3 − 2)

To solve this expression, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Step 1: Evaluate the subtraction inside the parentheses:

3 − 2 = 1

Step 2: Rewrite the expression with the simplified value:

9 x 4 + 1

Step 3: Perform the multiplication:

9 x 4 = 36

Step 4: Add the products:

36 + 1 = 37

Therefore, the correct numerical expression for "9 times 4 added to the difference of 3 and 2" is 37.

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need help with this question

need help with this question

Answers

Answer:

1 and 3, 2 and 4

Step-by-step explanation:

Supplementary angles total to 180° or should form a straight line. 1 and 3, 2 and 4 are vertical angles which equal one another and are not supplementary.

Andre and Elena are each saving money. Andre starts with 100$ in his savings account and adds 5$ per week. Elena starts with 10$ in her savings account and adds 20$ each week. after 4 weeks who has more money in their savings account ​

Answers

Step-by-step explanation:

let π be the person who has more money

solution

$100+$5+$10+$20

=135

135:π:4

Find the values of parameters for which the ODE (a x²y + y³) dx + + (x³ + bxy²) dy = 0

Answers

The given ordinary differential equation is (ax²y + y³)dx + (x³ + bxy²)dy = 0, where a and b are parameters. We need to find the values of a and b for which this equation is satisfied.

To determine the values of a and b, we can compare the coefficients of dx and dy separately and equate them to zero.

Comparing the coefficient of dx, we have ax²y + y³ = 0. This equation holds true if either a = 0 or y = 0.

Comparing the coefficient of dy, we have x³ + bxy² = 0. For this equation to be satisfied, either b = 0 or x = 0 or y = 0.

In summary, the values of parameters a and b for which the given ODE is satisfied are as follows:
1. If a = 0 and b is any real number, or
2. If b = 0 and a is any real number, or
3. If x = 0 and a and b can take any real values, or
4. If y = 0 and a and b can take any real values.

These are the conditions that make the given ODE hold true based on the comparison of the coefficients of dx and dy.

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5. Amber buys bottles of lemonade and a bag of cookies at the store. She pays a total of $9.50. The bag of cookies cost $3.25. If she bought 5 bottles of lemonade, how much was each bottle of lemonade?​

Answers

Answer:

each bottle was 1.25

Step-by-step explanation:

subtract 3.25 from 9.50 and then divide that answer by 5 for the 5 bottles of lemonade

Answer:

$1.25

Step-by-step explanation:

9.50=3.25+5x

9.50-3.25=6.25

6.25/5 bottles= x

x=1.25

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